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Finding the Third Proportional to 288,978 and 444,721

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Solution

The third proportional to 288,978 and 444,721 is: 684,400.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,978 : 444,721 = 444,721 : x
  2. Step 2: Convert to fraction form
    288,978/444,721 = 444,721/x
  3. Step 3: Cross multiply
    288,978x = 444,721 × 444,721
  4. Step 4: Simplify right side
    288,978x = 197,776,767,841
  5. Step 5: Solve for x
    x = 197,776,767,841/288,978
  6. Step 6: Final answer
    x = 684,400.78

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.